Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [368,2,Mod(91,368)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(368, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("368.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 368.i (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 91.6 | ||
Character | 368.91 | ||
Dual form | 368.2.i.b.275.6 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.33867 | − | 0.456028i | −0.946583 | − | 0.322461i | |||||
0.860099 | + | 0.860099i | 0.496579 | + | 0.496579i | 0.910371 | − | 0.413793i | ||
−0.413793 | + | 0.910371i | ||||||||
1.58408 | + | 1.22094i | 0.792038 | + | 0.610472i | |||||
0.0592628 | − | 0.0592628i | 0.0265031 | − | 0.0265031i | −0.693731 | − | 0.720234i | ||
0.720234 | + | 0.693731i | ||||||||
−0.759160 | − | 1.54362i | −0.309926 | − | 0.630180i | |||||
2.65917i | 1.00507i | 0.864556 | + | 0.502536i | ||||||
−0.864556 | + | 0.502536i | ||||||||
−1.56377 | − | 2.35682i | −0.552876 | − | 0.833263i | |||||
− | 1.52046i | − | 0.506819i | |||||||
−0.106359 | + | 0.0523078i | −0.0336336 | + | 0.0165412i | |||||
3.23118 | + | 3.23118i | 0.974236 | + | 0.974236i | 0.999676 | − | 0.0254403i | ||
−0.0254403 | + | 0.999676i | ||||||||
0.312330 | + | 2.41260i | 0.0901620 | + | 0.696456i | |||||
1.32495 | − | 1.32495i | 0.367475 | − | 0.367475i | −0.499081 | − | 0.866555i | ||
0.866555 | + | 0.499081i | ||||||||
1.21266 | − | 3.55975i | 0.324096 | − | 0.951383i | |||||
0.101944 | 0.0263218 | |||||||||
1.01859 | + | 3.86813i | 0.254649 | + | 0.967034i | |||||
1.27002i | 0.308025i | 0.988069 | + | 0.154012i | ||||||
−0.988069 | + | 0.154012i | ||||||||
−0.693372 | + | 2.03539i | −0.163429 | + | 0.479747i | |||||
−4.69664 | + | 4.69664i | −1.07748 | + | 1.07748i | −0.0807484 | + | 0.996735i | ||
−0.996735 | + | 0.0807484i | ||||||||
0.166233 | − | 0.0215203i | 0.0371709 | − | 0.00481208i | |||||
−2.28715 | + | 2.28715i | −0.499097 | + | 0.499097i | |||||
−2.85197 | − | 5.79899i | −0.608042 | − | 1.23635i | |||||
2.50175 | − | 4.09161i | 0.521651 | − | 0.853159i | |||||
0.682105 | − | 3.37210i | 0.139234 | − | 0.688327i | |||||
4.99298i | 0.998595i | |||||||||
−2.37788 | + | 1.16946i | −0.466342 | + | 0.229349i | |||||
3.88804 | − | 3.88804i | 0.748254 | − | 0.748254i | |||||
−3.24670 | + | 4.21233i | −0.613568 | + | 0.796055i | |||||
−1.21823 | + | 1.21823i | −0.226219 | + | 0.226219i | −0.811111 | − | 0.584892i | ||
0.584892 | + | 0.811111i | ||||||||
−0.136469 | − | 0.0464892i | −0.0249157 | − | 0.00848774i | |||||
2.31556i | 0.415888i | 0.978141 | + | 0.207944i | ||||||
−0.978141 | + | 0.207944i | ||||||||
0.400417 | − | 5.64266i | 0.0707844 | − | 0.997492i | |||||
5.55826i | 0.967570i | |||||||||
0.579165 | − | 1.70014i | 0.0993259 | − | 0.291571i | |||||
0.157590 | + | 0.157590i | 0.0266375 | + | 0.0266375i | |||||
1.85639 | − | 2.40852i | 0.309399 | − | 0.401420i | |||||
−1.54778 | + | 1.54778i | −0.254454 | + | 0.254454i | −0.822794 | − | 0.568340i | ||
0.568340 | + | 0.822794i | ||||||||
8.42905 | − | 4.14545i | 1.36737 | − | 0.672481i | |||||
2.27918 | 0.364960 | |||||||||
−0.232345 | − | 0.0469985i | −0.0367370 | − | 0.00743112i | |||||
2.46013i | 0.384208i | 0.981375 | + | 0.192104i | ||||||
−0.981375 | + | 0.192104i | ||||||||
4.10474 | − | 2.01873i | 0.633376 | − | 0.311497i | |||||
8.21821 | + | 8.21821i | 1.25326 | + | 1.25326i | 0.954248 | + | 0.299017i | ||
0.299017 | + | 0.954248i | ||||||||
1.17335 | + | 9.06351i | 0.176889 | + | 1.36638i | |||||
−0.0901066 | − | 0.0901066i | −0.0134323 | − | 0.0134323i | |||||
−5.21491 | + | 4.33645i | −0.768896 | + | 0.639374i | |||||
− | 1.72980i | − | 0.252317i | −0.992010 | − | 0.126159i | ||||
0.992010 | − | 0.126159i | ||||||||
−2.45089 | + | 4.20307i | −0.353755 | + | 0.606661i | |||||
−0.0711808 | −0.0101687 | |||||||||
2.27694 | − | 6.68395i | 0.322008 | − | 0.945253i | |||||
−1.09234 | + | 1.09234i | −0.152959 | + | 0.152959i | |||||
3.71651 | − | 0.481132i | 0.515387 | − | 0.0667211i | |||||
5.85076 | − | 5.85076i | 0.803663 | − | 0.803663i | −0.180003 | − | 0.983666i | ||
0.983666 | + | 0.180003i | ||||||||
−6.97787 | + | 3.43175i | −0.949567 | + | 0.467002i | |||||
0.382977 | 0.0516406 | |||||||||
6.26719 | − | 4.15833i | 0.837489 | − | 0.555680i | |||||
−8.07915 | −1.07011 | |||||||||
2.18635 | − | 1.07526i | 0.287082 | − | 0.141188i | |||||
10.2226 | − | 10.2226i | 1.33088 | − | 1.33088i | 0.426287 | − | 0.904588i | ||
0.904588 | − | 0.426287i | ||||||||
0.161487 | + | 0.124468i | 0.0208478 | + | 0.0160687i | |||||
−9.18423 | − | 9.18423i | −1.17592 | − | 1.17592i | −0.980774 | − | 0.195146i | ||
−0.195146 | − | 0.980774i | ||||||||
1.05596 | − | 3.09978i | 0.134107 | − | 0.393672i | |||||
4.04316 | 0.509390 | |||||||||
−3.10924 | + | 7.37107i | −0.388655 | + | 0.921383i | |||||
− | 0.157040i | − | 0.0194785i | |||||||
2.53473 | − | 7.44068i | 0.312003 | − | 0.915885i | |||||
0.241049 | − | 0.241049i | 0.0294489 | − | 0.0294489i | −0.692229 | − | 0.721678i | ||
0.721678 | + | 0.692229i | ||||||||
−1.55062 | + | 2.01181i | −0.188040 | + | 0.243967i | |||||
5.67094 | − | 1.36744i | 0.682701 | − | 0.164620i | |||||
−0.139095 | − | 0.282826i | −0.0166251 | − | 0.0338042i | |||||
−15.0134 | −1.78176 | −0.890879 | − | 0.454241i | ||||||
−0.890879 | + | 0.454241i | ||||||||
−3.58345 | + | 2.37765i | −0.422314 | + | 0.280208i | |||||
− | 2.20672i | − | 0.258277i | −0.991627 | − | 0.129139i | ||||
0.991627 | − | 0.129139i | ||||||||
2.77781 | − | 1.36614i | 0.322913 | − | 0.158810i | |||||
−4.29446 | + | 4.29446i | −0.495881 | + | 0.495881i | |||||
−13.1742 | + | 1.70550i | −1.51118 | + | 0.195635i | |||||
−8.59224 | + | 8.59224i | −0.979177 | + | 0.979177i | |||||
−3.05107 | − | 1.03937i | −0.345465 | − | 0.117685i | |||||
−6.90459 | −0.776827 | −0.388414 | − | 0.921485i | ||||||
−0.388414 | + | 0.921485i | ||||||||
0.289601 | + | 0.168872i | 0.0323784 | + | 0.0188804i | |||||
2.12683 | 0.236315 | |||||||||
1.12189 | − | 3.29330i | 0.123892 | − | 0.363684i | |||||
6.96262 | − | 6.96262i | 0.764247 | − | 0.764247i | −0.212840 | − | 0.977087i | ||
0.977087 | + | 0.212840i | ||||||||
−6.41550 | + | 0.830539i | −0.699988 | + | 0.0906192i | |||||
0.0752648 | + | 0.0752648i | 0.00816362 | + | 0.00816362i | |||||
−7.25373 | − | 14.7492i | −0.782190 | − | 1.59045i | |||||
−2.09559 | −0.224671 | |||||||||
2.56250 | − | 12.6681i | 0.273163 | − | 1.35043i | |||||
−14.2609 | −1.51166 | −0.755828 | − | 0.654771i | ||||||
−0.755828 | + | 0.654771i | ||||||||
0.0795318 | + | 0.161714i | 0.00838339 | + | 0.0170462i | |||||
3.52326 | + | 3.52326i | 0.369338 | + | 0.369338i | |||||
8.95858 | − | 3.42693i | 0.933997 | − | 0.357282i | |||||
−1.99162 | + | 1.99162i | −0.206521 | + | 0.206521i | |||||
−0.788838 | + | 2.31563i | −0.0813625 | + | 0.238839i | |||||
0.556672i | 0.0571133i | |||||||||
5.19765 | − | 4.50885i | 0.530483 | − | 0.460183i | |||||
− | 7.99512i | − | 0.811781i | −0.913922 | − | 0.405891i | ||||
0.913922 | − | 0.405891i | ||||||||
0.0952876 | + | 0.0324605i | 0.00962550 | + | 0.00327900i | |||||
4.91287 | − | 4.91287i | 0.493762 | − | 0.493762i | |||||
−6.09614 | + | 7.90925i | −0.609614 | + | 0.790925i | |||||
−3.64570 | − | 3.64570i | −0.362760 | − | 0.362760i | 0.502068 | − | 0.864828i | ||
−0.864828 | + | 0.502068i | ||||||||
1.96043 | − | 0.964147i | 0.194111 | − | 0.0954648i | |||||
− | 13.3253i | − | 1.31298i | −0.754333 | − | 0.656492i | ||||
0.754333 | − | 0.656492i | ||||||||
−5.19459 | − | 1.05076i | −0.509371 | − | 0.103035i | |||||
0.271086i | 0.0264553i | |||||||||
−10.5003 | + | 5.16412i | −1.01988 | + | 0.501584i | |||||
7.02903 | + | 7.02903i | 0.679522 | + | 0.679522i | 0.959892 | − | 0.280370i | ||
−0.280370 | + | 0.959892i | ||||||||
10.9060 | − | 1.41188i | 1.04943 | − | 0.135858i | |||||
−3.12657 | − | 3.12657i | −0.299471 | − | 0.299471i | 0.541335 | − | 0.840807i | ||
−0.840807 | + | 0.541335i | ||||||||
−0.512680 | − | 0.174648i | −0.0488821 | − | 0.0166521i | |||||
−2.66250 | −0.252713 | |||||||||
−10.2860 | + | 2.70862i | −0.971938 | + | 0.255940i | |||||
− | 8.66950i | − | 0.815558i | −0.913081 | − | 0.407779i | ||||
0.913081 | − | 0.407779i | ||||||||
10.8153 | + | 3.68432i | 1.01295 | + | 0.345069i | |||||
−0.0942195 | − | 0.390741i | −0.00878601 | − | 0.0364367i | |||||
−3.41715 | + | 0.442378i | −0.317274 | + | 0.0410738i | |||||
−2.01453 | − | 2.01453i | −0.186243 | − | 0.186243i | |||||
−18.3466 | + | 9.02293i | −1.68894 | + | 0.830628i | |||||
−3.37719 | −0.309587 | |||||||||
−0.159417 | − | 0.240263i | −0.0145527 | − | 0.0219330i | |||||
9.88099i | 0.898272i | |||||||||
8.10638 | + | 16.4829i | 0.733918 | + | 1.49229i | |||||
−2.11596 | + | 2.11596i | −0.190789 | + | 0.190789i | |||||
−2.82717 | + | 3.66803i | −0.253888 | + | 0.329399i | |||||
0.592211 | + | 0.592211i | 0.0529690 | + | 0.0529690i | |||||
−5.41245 | − | 1.84379i | −0.482180 | − | 0.164258i | |||||
− | 5.22135i | − | 0.463320i | −0.972797 | − | 0.231660i | ||||
0.972797 | − | 0.231660i | ||||||||
7.52367 | − | 8.44952i | 0.665004 | − | 0.746839i | |||||
14.1370i | 1.24469i | |||||||||
−0.0716148 | + | 0.210225i | −0.00628104 | + | 0.0184380i | |||||
3.33453 | + | 3.33453i | 0.291339 | + | 0.291339i | 0.837609 | − | 0.546270i | ||
−0.546270 | + | 0.837609i | ||||||||
−6.78633 | + | 8.80471i | −0.590674 | + | 0.766352i | |||||
−12.4892 | − | 12.4892i | −1.08295 | − | 1.08295i | |||||
−0.432611 | + | 0.212760i | −0.0373719 | + | 0.0183797i | |||||
− | 0.460832i | − | 0.0396621i | |||||||
2.99321 | − | 1.98602i | 0.256666 | − | 0.170300i | |||||
−7.42500 | −0.634361 | −0.317180 | − | 0.948365i | ||||||
−0.317180 | + | 0.948365i | ||||||||
−8.21511 | − | 0.755563i | −0.699317 | − | 0.0643178i | |||||
6.66197 | − | 6.66197i | 0.565061 | − | 0.565061i | −0.365680 | − | 0.930741i | ||
0.930741 | + | 0.365680i | ||||||||
0.0572260 | + | 0.442042i | 0.00483648 | + | 0.0373594i | |||||
1.48780 | − | 1.48780i | 0.125295 | − | 0.125295i | |||||
20.0979 | + | 6.84652i | 1.68658 | + | 0.574547i | |||||
8.56229 | 0.716014 | |||||||||
5.88134 | − | 1.54873i | 0.490111 | − | 0.129061i | |||||
0.144391i | 0.0119910i | |||||||||
−1.00633 | + | 2.95407i | −0.0832843 | + | 0.244481i | |||||
−0.0612226 | − | 0.0612226i | −0.00504955 | − | 0.00504955i | |||||
−4.34156 | + | 0.562051i | −0.356874 | + | 0.0462003i | |||||
6.57835 | − | 6.57835i | 0.538920 | − | 0.538920i | −0.384292 | − | 0.923212i | ||
0.923212 | + | 0.384292i | ||||||||
7.70725 | − | 3.79047i | 0.629295 | − | 0.309490i | |||||
15.6057 | 1.26997 | 0.634986 | − | 0.772524i | ||||||
0.634986 | + | 0.772524i | ||||||||
18.4136 | + | 3.72469i | 1.49354 | + | 0.302112i | |||||
1.93101 | 0.156113 | |||||||||
15.4205 | − | 7.58387i | 1.24262 | − | 0.611126i | |||||
0.137227 | + | 0.137227i | 0.0110223 | + | 0.0110223i | |||||
3.61039 | + | 2.78274i | 0.289062 | + | 0.222798i | |||||
6.05567 | + | 6.05567i | 0.483295 | + | 0.483295i | 0.906182 | − | 0.422887i | ||
−0.422887 | + | 0.906182i | ||||||||
9.24297 | + | 3.14869i | 0.735331 | + | 0.250496i | |||||
10.0645 | 0.798164 | |||||||||
−0.310670 | − | 0.358130i | −0.0245606 | − | 0.0283126i | |||||
10.8803 | + | 6.65257i | 0.857486 | + | 0.524296i | |||||
−2.84713 | − | 0.969896i | −0.223692 | − | 0.0762022i | |||||
−10.7888 | − | 10.7888i | −0.845040 | − | 0.845040i | 0.144469 | − | 0.989509i | ||
−0.989509 | + | 0.144469i | ||||||||
−3.00368 | + | 3.89703i | −0.234548 | + | 0.304307i | |||||
0.329398 | + | 0.329398i | 0.0256436 | + | 0.0256436i | |||||
−12.4958 | + | 6.14550i | −0.969862 | + | 0.476983i | |||||
−6.67959 | −0.516882 | −0.258441 | − | 0.966027i | ||||||
−0.258441 | + | 0.966027i | ||||||||
8.96699 | + | 1.81383i | 0.691818 | + | 0.139940i | |||||
9.48902i | 0.729925i | |||||||||
−0.0664319 | − | 0.135078i | −0.00509509 | − | 0.0103600i | |||||
7.14104 | + | 7.14104i | 0.546089 | + | 0.546089i | |||||
2.98430 | + | 23.0522i | 0.227551 | + | 1.75772i | |||||
9.10911 | − | 9.10911i | 0.692553 | − | 0.692553i | −0.270240 | − | 0.962793i | ||
0.962793 | + | 0.270240i | ||||||||
2.80531 | + | 0.955650i | 0.212670 | + | 0.0724476i | |||||
−13.2772 | −1.00366 | |||||||||
−9.20736 | + | 15.7899i | −0.694031 | + | 1.19021i | |||||
17.5850 | 1.32177 | |||||||||
19.0907 | + | 6.50339i | 1.43091 | + | 0.487449i | |||||
0.0909711 | + | 0.0909711i | 0.00679950 | + | 0.00679950i | 0.710498 | − | 0.703699i | ||
−0.703699 | + | 0.710498i | ||||||||
−0.0327206 | − | 0.252751i | −0.00243885 | − | 0.0188389i | |||||
11.3170 | − | 11.3170i | 0.841187 | − | 0.841187i | −0.147826 | − | 0.989013i | ||
0.989013 | + | 0.147826i | ||||||||
−3.10978 | − | 6.32320i | −0.230512 | − | 0.468707i | |||||
− | 15.7987i | − | 1.16787i | |||||||
−13.5554 | + | 0.502156i | −0.999315 | + | 0.0370194i | |||||
0.183452i | 0.0134877i | |||||||||
3.57435 | − | 1.75788i | 0.262084 | − | 0.128894i | |||||
−4.10365 | + | 4.10365i | −0.300089 | + | 0.300089i | |||||
2.11199 | − | 2.74014i | 0.154033 | − | 0.199845i | |||||
10.3390 | + | 10.3390i | 0.752049 | + | 0.752049i | |||||
0.253858 | − | 0.745200i | 0.0184168 | − | 0.0540625i | |||||
−15.7543 | −1.13994 | −0.569972 | − | 0.821664i | ||||||
−0.569972 | + | 0.821664i | ||||||||
−9.01411 | + | 3.66559i | −0.650537 | + | 0.264541i | |||||
−9.94979 | −0.716202 | −0.358101 | − | 0.933683i | ||||||
−0.358101 | + | 0.933683i | ||||||||
−3.64600 | + | 10.7028i | −0.261768 | + | 0.768418i | |||||
0.135070 | − | 0.135070i | 0.00967258 | − | 0.00967258i | |||||
−0.112756 | − | 0.0869077i | −0.00805399 | − | 0.00620770i | |||||
12.0238 | + | 12.0238i | 0.856661 | + | 0.856661i | 0.990943 | − | 0.134282i | ||
−0.134282 | + | 0.990943i | ||||||||
−8.81712 | + | 4.33630i | −0.626605 | + | 0.308168i | |||||
12.1254i | 0.859544i | 0.902937 | + | 0.429772i | ||||||
−0.902937 | + | 0.429772i | ||||||||
11.7676 | − | 7.80787i | 0.832093 | − | 0.552100i | |||||
0.414653 | 0.0292473 | |||||||||
3.21785 | + | 6.54293i | 0.226407 | + | 0.460359i | |||||
−3.23947 | − | 3.23947i | −0.227366 | − | 0.227366i | |||||
−3.06404 | + | 0.396665i | −0.214526 | + | 0.0277721i | |||||
0.145794 | + | 0.145794i | 0.0101827 | + | 0.0101827i | |||||
−6.07673 | + | 17.8382i | −0.423386 | + | 1.24285i | |||||
−6.22112 | − | 3.80380i | −0.432398 | − | 0.264383i | |||||
6.47467 | + | 3.77550i | 0.448937 | + | 0.261784i | |||||
−30.3513 | −2.09945 | |||||||||
0.123623 | − | 0.362894i | 0.00853078 | − | 0.0250421i | |||||
8.84817 | + | 8.84817i | 0.609133 | + | 0.609133i | 0.942720 | − | 0.333586i | ||
−0.333586 | + | 0.942720i | ||||||||
16.4115 | − | 2.12460i | 1.12715 | − | 0.145918i | |||||
−12.9130 | − | 12.9130i | −0.884783 | − | 0.884783i | |||||
−6.20412 | − | 12.6150i | −0.424105 | − | 0.862344i | |||||
0.974067 | 0.0664308 | |||||||||
−15.2434 | − | 3.08343i | −1.03718 | − | 0.209801i | |||||
−6.15748 | −0.417997 | |||||||||
2.75964 | + | 5.61125i | 0.186907 | + | 0.380042i | |||||
1.89800 | − | 1.89800i | 0.128255 | − | 0.128255i | |||||
0.606664 | + | 0.467593i | 0.0409013 | + | 0.0315251i | |||||
1.68271 | + | 1.68271i | 0.113191 | + | 0.113191i | |||||
3.56420 | + | 1.21417i | 0.239214 | + | 0.0814900i | |||||
8.33600i | 0.558220i | 0.960259 | + | 0.279110i | ||||||
−0.960259 | + | 0.279110i | ||||||||
15.0048 | + | 1.06478i | 1.00255 | + | 0.0711434i | |||||
7.59161 | 0.506107 | |||||||||
−3.95354 | + | 11.6056i | −0.262985 | + | 0.771993i | |||||
−4.72544 | + | 4.72544i | −0.313638 | + | 0.313638i | −0.846317 | − | 0.532679i | ||
0.532679 | + | 0.846317i | ||||||||
−12.7980 | − | 9.86419i | −0.847568 | − | 0.653272i | |||||
15.7355 | − | 15.7355i | 1.03983 | − | 1.03983i | 0.0406573 | − | 0.999173i | ||
0.999173 | − | 0.0406573i | ||||||||
−0.0520600 | + | 0.566040i | −0.00343273 | + | 0.0373235i | |||||
−14.7804 | −0.972477 | |||||||||
4.77617 | + | 0.966119i | 0.313571 | + | 0.0634288i | |||||
− | 5.06132i | − | 0.331578i | −0.986161 | − | 0.165789i | ||||
0.986161 | − | 0.165789i | ||||||||
1.77811 | + | 3.61547i | 0.116239 | + | 0.236351i | |||||
−0.102513 | − | 0.102513i | −0.00668720 | − | 0.00668720i | |||||
28.6747 | − | 3.71218i | 1.86657 | − | 0.241642i | |||||
−5.93863 | − | 5.93863i | −0.385756 | − | 0.385756i | |||||
4.52095 | + | 1.54010i | 0.293050 | + | 0.0998297i | |||||
25.4452i | 1.64591i | 0.568105 | + | 0.822956i | ||||||
−0.568105 | + | 0.822956i | ||||||||
0.103839 | + | 0.394332i | 0.00670280 | + | 0.0254540i | |||||
7.67284i | 0.494251i | 0.968983 | + | 0.247126i | ||||||
−0.968983 | + | 0.247126i | ||||||||
4.50601 | − | 13.2274i | 0.289657 | − | 0.850289i | |||||
−9.83484 | − | 9.83484i | −0.630905 | − | 0.630905i | |||||
−3.33509 | − | 25.7619i | −0.213508 | − | 1.64924i | |||||
−0.00421837 | + | 0.00421837i | −0.000269502 | + | 0.000269502i | |||||
3.79750 | − | 1.86763i | 0.242120 | − | 0.119076i | |||||
12.4456i | 0.791896i | |||||||||
5.45738 | − | 3.62101i | 0.346544 | − | 0.229934i | |||||
11.9771 | 0.759017 | |||||||||
−0.522711 | − | 1.06284i | −0.0330591 | − | 0.0672200i | |||||
−18.0092 | − | 18.0092i | −1.13673 | − | 1.13673i | −0.989033 | − | 0.147695i | ||
−0.147695 | − | 0.989033i | ||||||||
6.40467 | + | 4.93646i | 0.403456 | + | 0.310968i | |||||
21.3043 | − | 5.13712i | 1.33939 | − | 0.322968i | |||||
−2.38108 | + | 6.98967i | −0.149403 | + | 0.438571i | |||||
0.129470i | 0.00810776i | |||||||||
−13.9249 | + | 7.88012i | −0.870308 | + | 0.492508i | |||||
−11.5321 | −0.719351 | −0.359675 | − | 0.933077i | ||||||
−0.359675 | + | 0.933077i | ||||||||
6.44685 | − | 18.9247i | 0.401363 | − | 1.17820i | |||||
−4.11582 | − | 4.11582i | −0.255745 | − | 0.255745i | |||||
0.191737 | − | 0.248764i | 0.0118910 | − | 0.0154277i | |||||
1.85226 | + | 1.85226i | 0.114652 | + | 0.114652i | |||||
−2.94320 | − | 5.98448i | −0.181831 | − | 0.369722i | |||||
− | 25.8401i | − | 1.59337i | −0.604396 | − | 0.796684i | ||||
0.604396 | − | 0.796684i | ||||||||
13.0999 | − | 8.69185i | 0.806240 | − | 0.534946i | |||||
− | 0.693464i | − | 0.0425992i | |||||||
11.0235 | + | 22.4143i | 0.675891 | + | 1.37431i | |||||
−12.2658 | − | 12.2658i | −0.750656 | − | 0.750656i | |||||
0.676148 | − | 0.0875329i | 0.0413023 | − | 0.00534692i | |||||
12.0864 | − | 12.0864i | 0.736922 | − | 0.736922i | −0.235059 | − | 0.971981i | ||
0.971981 | + | 0.235059i | ||||||||
−0.210153 | + | 0.616903i | −0.0127895 | + | 0.0375435i | |||||
19.6896i | 1.19606i | 0.801474 | + | 0.598030i | ||||||
−0.801474 | + | 0.598030i | ||||||||
−4.91260 | + | 1.29363i | −0.297870 | + | 0.0784381i | |||||
6.06071i | 0.366811i | |||||||||
9.93963 | + | 3.38601i | 0.600475 | + | 0.204556i | |||||
−16.1332 | + | 16.1332i | −0.972867 | + | 0.972867i | |||||
10.6528 | + | 4.75777i | 0.641221 | + | 0.286384i | |||||
−8.60109 | − | 8.60109i | −0.516789 | − | 0.516789i | 0.399809 | − | 0.916598i | ||
−0.916598 | + | 0.399809i | ||||||||
−11.9562 | + | 5.88013i | −0.717087 | + | 0.352667i | |||||
3.52072 | 0.210780 | |||||||||
0.124977 | − | 0.617846i | 0.00746881 | − | 0.0369233i | |||||
−28.6536 | −1.70933 | −0.854665 | − | 0.519181i | ||||||
−0.854665 | + | 0.519181i | ||||||||
−2.67015 | + | 1.31319i | −0.159005 | + | 0.0781996i | |||||
4.00191 | + | 4.00191i | 0.237889 | + | 0.237889i | 0.815976 | − | 0.578086i | ||
−0.578086 | + | 0.815976i | ||||||||
−23.7823 | − | 18.3305i | −1.41122 | − | 1.08771i | |||||
−0.478793 | + | 0.478793i | −0.0283612 | + | 0.0283612i | |||||
−11.4621 | − | 3.90465i | −0.677767 | − | 0.230887i | |||||
−6.54190 | −0.386156 | |||||||||
−8.57944 | − | 0.608817i | −0.505548 | − | 0.0358749i | |||||
15.3871 | 0.905121 | |||||||||
0.0658464 | − | 0.193292i | 0.00386663 | − | 0.0113505i | |||||
6.87660 | − | 6.87660i | 0.403113 | − | 0.403113i | |||||
2.69428 | − | 3.49562i | 0.157671 | − | 0.204565i | |||||
−9.94696 | + | 9.94696i | −0.581107 | + | 0.581107i | −0.935208 | − | 0.354100i | ||
0.354100 | + | 0.935208i | ||||||||
0.0540376 | + | 0.109876i | 0.00315154 | + | 0.00640810i | |||||
− | 1.21164i | − | 0.0705447i | |||||||
6.06823 | + | 1.22748i | 0.352709 | + | 0.0713456i | |||||
25.1259 | 1.45795 | |||||||||
−11.8062 | + | 5.80633i | −0.683912 | + | 0.336352i | |||||
−2.10648 | − | 8.73586i | −0.121821 | − | 0.505208i | |||||
−12.0460 | + | 1.55946i | −0.695478 | + | 0.0900353i | |||||
−21.8536 | + | 21.8536i | −1.25962 | + | 1.25962i | |||||
−20.8909 | − | 7.11663i | −1.20213 | − | 0.409516i | |||||
− | 6.27132i | − | 0.360278i | |||||||
−22.9512 | − | 13.3833i | −1.31634 | − | 0.767583i | |||||
−1.08857 | −0.0623311 | |||||||||
−2.58499 | − | 0.880596i | −0.147774 | − | 0.0503403i | |||||
10.7455 | + | 10.7455i | 0.613280 | + | 0.613280i | 0.943799 | − | 0.330519i | ||
−0.330519 | + | 0.943799i | ||||||||
−24.1014 | + | 3.12012i | −1.37331 | + | 0.177786i | |||||
11.4611 | − | 11.4611i | 0.652000 | − | 0.652000i | |||||
−0.121122 | − | 0.246281i | −0.00687927 | − | 0.0139878i | |||||
14.1242 | 0.800908 | 0.400454 | − | 0.916317i | ||||||
0.400454 | + | 0.916317i | ||||||||
−3.56411 | − | 5.37162i | −0.201778 | − | 0.304108i | |||||
24.3707 | 1.37751 | 0.688757 | − | 0.724992i | ||||||
0.688757 | + | 0.724992i | ||||||||
−5.34499 | − | 10.8681i | −0.301635 | − | 0.613323i | |||||
0.239609 | − | 0.239609i | 0.0135004 | − | 0.0135004i | |||||
−10.9374 | − | 8.43011i | −0.615277 | − | 0.474231i | |||||
10.5047 | − | 10.5047i | 0.590001 | − | 0.590001i | −0.347630 | − | 0.937632i | ||
0.937632 | + | 0.347630i | ||||||||
−13.4730 | − | 4.58968i | −0.755529 | − | 0.257377i | |||||
−7.87261 | −0.440781 | |||||||||
0.252567 | + | 0.621092i | 0.0141190 | + | 0.0347201i | |||||
12.0913i | 0.674873i | |||||||||
−11.5313 | − | 13.8673i | −0.642617 | − | 0.772795i | |||||
−5.96482 | − | 5.96482i | −0.331891 | − | 0.331891i | |||||
3.36907 | + | 2.59674i | 0.187170 | + | 0.144263i | |||||
6.61544 | + | 6.61544i | 0.366959 | + | 0.366959i | |||||
9.52260 | + | 19.3626i | 0.527408 | + | 1.07239i | |||||
− | 5.37833i | − | 0.297422i | |||||||
5.79809 | − | 3.84708i | 0.320146 | − | 0.212419i | |||||
4.59983 | 0.253597 | |||||||||
−0.290741 | − | 0.591170i | −0.0160047 | − | 0.0325429i | |||||
−8.83567 | + | 8.83567i | −0.485652 | + | 0.485652i | −0.906931 | − | 0.421279i | ||
0.421279 | + | 0.906931i | ||||||||
19.5303 | − | 2.52836i | 1.07186 | − | 0.138762i | |||||
2.35334 | + | 2.35334i | 0.128962 | + | 0.128962i | |||||
8.94177 | + | 3.04608i | 0.489272 | + | 0.166674i | |||||
− | 0.0285705i | − | 0.00156097i | |||||||
−11.1767 | − | 6.51732i | −0.609738 | − | 0.355549i | |||||
− | 10.6494i | − | 0.580110i | −0.957010 | − | 0.290055i | ||||
0.957010 | − | 0.290055i | ||||||||
4.32726 | − | 12.7027i | 0.235372 | − | 0.690934i | |||||
7.45663 | − | 7.45663i | 0.404989 | − | 0.404989i | |||||
0.0273311 | + | 0.211119i | 0.00148224 | + | 0.0114496i | |||||
−7.48199 | + | 7.48199i | −0.405173 | + | 0.405173i | |||||
−6.30298 | − | 12.8160i | −0.340826 | − | 0.693011i | |||||
18.4249i | 0.994851i | |||||||||
6.51748 | − | 32.2203i | 0.351399 | − | 1.73720i | |||||
0.255038 | − | 0.417114i | 0.0137308 | − | 0.0224567i | |||||
−16.3481 | + | 8.04009i | −0.878880 | + | 0.432238i | |||||
−16.4276 | + | 16.4276i | −0.881879 | + | 0.881879i | −0.993725 | − | 0.111847i | ||
0.111847 | + | 0.993725i | ||||||||
−3.31958 | − | 2.55860i | −0.177948 | − | 0.137155i | |||||
−5.53040 | + | 5.53040i | −0.296036 | + | 0.296036i | −0.839459 | − | 0.543423i | ||
0.543423 | + | 0.839459i | ||||||||
17.7737 | + | 6.05477i | 0.950047 | + | 0.323641i | |||||
− | 10.3029i | − | 0.549929i | |||||||
19.5263 | − | 16.9386i | 1.04075 | − | 0.902832i | |||||
32.2050 | 1.71410 | 0.857050 | − | 0.515233i | ||||||
0.857050 | + | 0.515233i | ||||||||
−23.5405 | − | 8.01925i | −1.25116 | − | 0.426218i | |||||
−0.889733 | + | 0.889733i | −0.0472221 | + | 0.0472221i | |||||
−22.5904 | − | 17.4118i | −1.19729 | − | 0.922823i | |||||
−2.90472 | − | 2.90472i | −0.153734 | − | 0.153734i | |||||
−0.0802949 | − | 0.163266i | −0.00424372 | − | 0.00862886i | |||||
13.6769i | 0.721838i | 0.932597 | + | 0.360919i | ||||||
−0.932597 | + | 0.360919i | ||||||||
−0.0714593 | + | 0.353271i | −0.00376624 | + | 0.0186190i | |||||
− | 25.1168i | − | 1.32194i | |||||||
−20.3106 | + | 9.98887i | −1.06750 | + | 0.525004i | |||||
−8.49863 | + | 8.49863i | −0.446063 | + | 0.446063i | |||||
1.27941 | + | 9.88282i | 0.0670594 | + | 0.518001i | |||||
−0.130776 | − | 0.130776i | −0.00684515 | − | 0.00684515i | |||||
−7.20466 | + | 21.1492i | −0.376593 | + | 1.10549i | |||||
−18.4813 | −0.964716 | −0.482358 | − | 0.875974i | ||||||
−0.482358 | + | 0.875974i | ||||||||
18.3752 | + | 5.50941i | 0.957871 | + | 0.287198i | |||||
3.74052 | 0.194724 | |||||||||
0.0836593 | − | 0.245582i | 0.00434924 | − | 0.0127672i | |||||
15.5582 | + | 15.5582i | 0.807739 | + | 0.807739i | |||||
−5.58652 | + | 0.723221i | −0.289648 | + | 0.0374973i | |||||
−2.68817 | + | 2.68817i | −0.139188 | + | 0.139188i | −0.773268 | − | 0.634080i | ||
0.634080 | + | 0.773268i | ||||||||
7.36482 | − | 3.62206i | 0.380826 | − | 0.187292i | |||||
1.01872i | 0.0526065i | |||||||||
−4.07684 | + | 2.70501i | −0.210247 | + | 0.139500i | |||||
3.22818i | 0.166260i | |||||||||
−9.12560 | − | 18.5553i | −0.469370 | − | 0.954383i | |||||
17.1581 | + | 17.1581i | 0.881353 | + | 0.881353i | 0.993672 | − | 0.112319i | ||
−0.112319 | + | 0.993672i | ||||||||
−0.679665 | + | 0.881810i | −0.0348661 | + | 0.0452359i | |||||
4.49088 | − | 4.49088i | 0.230075 | − | 0.230075i | |||||
21.0899 | + | 7.18442i | 1.07905 | + | 0.367587i | |||||
9.20129 | 0.470164 | 0.235082 | − | 0.971976i | ||||||
0.235082 | + | 0.971976i | ||||||||
13.7385 | − | 0.796331i | 0.701091 | − | 0.0406376i | |||||
1.01840i | 0.0519025i | |||||||||
13.3195 | + | 4.53739i | 0.677944 | + | 0.230947i | |||||
12.4954 | − | 12.4954i | 0.635179 | − | 0.635179i | |||||
9.76159 | − | 12.6649i | 0.495569 | − | 0.642962i | |||||
−19.1433 | + | 19.1433i | −0.970606 | + | 0.970606i | −0.999580 | − | 0.0289741i | ||
0.0289741 | + | 0.999580i | ||||||||
−0.242410 | + | 0.119219i | −0.0122749 | + | 0.00603687i | |||||
5.19642 | + | 3.17727i | 0.262794 | + | 0.160681i | |||||
0.111310 | + | 0.167761i | 0.00562203 | + | 0.00847319i | |||||
5.73606i | 0.289346i | |||||||||
−10.6127 | − | 21.5791i | −0.534661 | − | 1.08714i | |||||
−0.409185 | + | 0.409185i | −0.0205883 | + | 0.0205883i | |||||
13.7807 | − | 1.78402i | 0.692506 | − | 0.0896505i | |||||
4.43182 | − | 4.43182i | 0.222426 | − | 0.222426i | −0.587093 | − | 0.809519i | ||
0.809519 | + | 0.587093i | ||||||||
5.52951 | − | 16.2319i | 0.277169 | − | 0.813630i | |||||
− | 21.4838i | − | 1.07554i | |||||||
−19.3135 | + | 5.08582i | −0.965675 | + | 0.254291i | |||||
9.14611i | 0.456735i | 0.973575 | + | 0.228367i | ||||||
−0.973575 | + | 0.228367i | ||||||||
−0.555083 | − | 0.189093i | −0.0276850 | − | 0.00943112i | |||||
3.06801 | + | 3.06801i | 0.152828 | + | 0.152828i | |||||
−1.32387 | − | 10.2263i | −0.0658651 | − | 0.508775i | |||||
0.126042 | − | 0.126042i | 0.00626308 | − | 0.00626308i | |||||
2.85929 | + | 5.81387i | 0.141904 | + | 0.288538i | |||||
−10.0023 | −0.495797 | |||||||||
4.28263 | + | 0.866286i | 0.212022 | + | 0.0428876i | |||||
− | 38.6304i | − | 1.91015i | −0.296365 | − | 0.955075i | ||||
0.296365 | − | 0.955075i | ||||||||
−0.128684 | − | 0.261656i | −0.00635525 | − | 0.0129223i | |||||
−6.38624 | − | 6.38624i | −0.315010 | − | 0.315010i | |||||
16.2695 | − | 21.1083i | 0.801540 | − | 1.03993i | |||||
27.1837 | + | 27.1837i | 1.33762 | + | 1.33762i | |||||
6.59338 | + | 7.92905i | 0.324047 | + | 0.389691i | |||||
− | 0.825248i | − | 0.0405098i | |||||||
−6.94571 | − | 8.00678i | −0.340542 | − | 0.392565i | |||||
11.4599 | 0.561194 | |||||||||
40.6304 | + | 13.8411i | 1.98730 | + | 0.676989i | |||||
−12.1063 | + | 12.1063i | −0.591429 | + | 0.591429i | −0.938017 | − | 0.346588i | ||
0.346588 | + | 0.938017i | ||||||||
−0.330980 | + | 0.429420i | −0.0161502 | + | 0.0209536i | |||||
−13.6001 | + | 13.6001i | −0.662827 | + | 0.662827i | −0.956045 | − | 0.293219i | ||
0.293219 | + | 0.956045i | ||||||||
−7.80977 | − | 15.8798i | −0.380174 | − | 0.773017i | |||||
−2.63009 | −0.127879 | |||||||||
−22.9385 | − | 4.63996i | −1.11399 | − | 0.225337i | |||||
−6.34117 | −0.307592 | |||||||||
11.3975 | + | 23.1749i | 0.552213 | + | 1.12283i | |||||
24.4224 | − | 24.4224i | 1.18188 | − | 1.18188i | |||||
2.55247 | + | 19.7166i | 0.123378 | + | 0.953037i | |||||
7.36442 | + | 7.36442i | 0.355557 | + | 0.355557i | |||||
−1.30396 | − | 0.444202i | −0.0628823 | − | 0.0214213i | |||||
−6.75253 | −0.325258 | −0.162629 | − | 0.986687i | ||||||
−0.162629 | + | 0.986687i | ||||||||
18.9998 | + | 11.0791i | 0.914129 | + | 0.533045i | |||||
− | 8.63103i | − | 0.414781i | −0.978258 | − | 0.207390i | ||||
0.978258 | − | 0.207390i | ||||||||
8.24283 | + | 2.80798i | 0.395669 | + | 0.134788i | |||||
−0.124191 | + | 0.124191i | −0.00595448 | + | 0.00595448i | |||||
−1.13536 | − | 8.77010i | −0.0543739 | − | 0.420011i | |||||
7.46700 | + | 30.9666i | 0.357195 | + | 1.48133i | |||||
−3.40634 | + | 1.67525i | −0.162761 | + | 0.0800467i | |||||
−23.6988 | −1.13108 | −0.565540 | − | 0.824721i | ||||||
−0.565540 | + | 0.824721i | ||||||||
−0.598888 | − | 0.902609i | −0.0285509 | − | 0.0430302i | |||||
0.108227i | 0.00515369i | |||||||||
−1.48523 | − | 3.01996i | −0.0706452 | − | 0.143645i | |||||
−16.5520 | + | 16.5520i | −0.786407 | + | 0.786407i | −0.980903 | − | 0.194496i | ||
0.194496 | + | 0.980903i | ||||||||
−4.21760 | − | 3.25076i | −0.200158 | − | 0.154274i | |||||
−0.845142 | + | 0.845142i | −0.0400636 | + | 0.0400636i | |||||
3.80145 | − | 11.1592i | 0.180004 | − | 0.528401i | |||||
11.3161 | 0.535232 | |||||||||
−19.6009 | − | 8.26800i | −0.926056 | − | 0.390626i | |||||
−22.5417 | −1.06381 | −0.531904 | − | 0.846804i | ||||||
−0.531904 | + | 0.846804i | ||||||||
−10.1627 | − | 3.46199i | −0.479073 | − | 0.163200i | |||||
−7.94911 | + | 7.94911i | −0.374309 | + | 0.374309i | |||||
10.5850 | − | 13.7331i | 0.497875 | − | 0.645953i | |||||
13.4224 | + | 13.4224i | 0.630641 | + | 0.630641i | |||||
8.48073 | − | 4.17087i | 0.398021 | − | 0.195749i | |||||
0.417597 | 0.0195772 | |||||||||
12.6339 | + | 19.0411i | 0.591639 | + | 0.891683i | |||||
19.8676 | 0.929365 | 0.464683 | − | 0.885477i | ||||||
0.464683 | + | 0.885477i | ||||||||
−28.2405 | + | 13.8888i | −1.31959 | + | 0.648981i | |||||
4.93789 | + | 4.93789i | 0.230481 | + | 0.230481i | |||||
0.327821 | − | 0.733999i | 0.0152847 | − | 0.0342229i | |||||
−28.8571 | + | 28.8571i | −1.34401 | + | 1.34401i | −0.451982 | + | 0.892027i | ||
−0.892027 | + | 0.451982i | ||||||||
19.7860 | + | 6.74027i | 0.920530 | + | 0.313586i | |||||
− | 23.6252i | − | 1.09796i | −0.835837 | − | 0.548978i | ||||
0.835837 | − | 0.548978i | ||||||||
−5.95314 | − | 3.47139i | −0.276368 | − | 0.161155i | |||||
0.236057i | 0.0109469i | |||||||||
−2.30810 | + | 6.77544i | −0.106921 | + | 0.313866i | |||||
−2.66814 | + | 2.66814i | −0.123467 | + | 0.123467i | −0.766140 | − | 0.642674i | ||
0.642674 | + | 0.766140i | ||||||||
−0.731542 | − | 5.65080i | −0.0338155 | − | 0.261208i | |||||
0.640991 | + | 0.640991i | 0.0295982 | + | 0.0295982i | |||||
0.0904821 | + | 0.183980i | 0.00417363 | + | 0.00848634i | |||||
10.4170i | 0.479988i | |||||||||
−40.0789 | − | 8.10711i | −1.84478 | − | 0.373160i | |||||
53.1089i | 2.44195i | |||||||||
5.24169 | + | 10.6581i | 0.240759 | + | 0.489541i | |||||
−23.4502 | − | 23.4502i | −1.07597 | − | 1.07597i | |||||
−5.34973 | − | 4.12336i | −0.245205 | − | 0.188994i | |||||
−8.89583 | − | 8.89583i | −0.407312 | − | 0.407312i | |||||
11.6037 | − | 34.0627i | 0.530742 | − | 1.55799i | |||||
13.6769 | 0.624914 | 0.312457 | − | 0.949932i | ||||||
0.312457 | + | 0.949932i | ||||||||
0.0408200 | − | 0.575234i | 0.00186317 | − | 0.0262557i | |||||
4.10147i | 0.187011i | |||||||||
3.49903 | − | 10.2714i | 0.159377 | − | 0.467850i | |||||
3.63625 | + | 15.0800i | 0.165455 | + | 0.686163i | |||||
−12.0641 | + | 15.6522i | −0.548369 | + | 0.711465i | |||||
−0.473813 | − | 0.473813i | −0.0215147 | − | 0.0215147i | |||||
8.68064 | + | 17.6506i | 0.393762 | + | 0.800646i | |||||
15.9805 | 0.724144 | 0.362072 | − | 0.932150i | ||||||
0.362072 | + | 0.932150i | ||||||||
−7.28359 | + | 36.0076i | −0.329712 | + | 1.62999i | |||||
− | 18.5588i | − | 0.839258i | |||||||
0.00757071 | − | 0.00372331i | 0.000342010 | − | 0.000168202i | |||||
23.4883 | − | 23.4883i | 1.06001 | − | 1.06001i | 0.0619296 | − | 0.998081i | ||
0.998081 | − | 0.0619296i | ||||||||
−5.93530 | + | 0.768373i | −0.267584 | + | 0.0346409i | |||||
−1.54717 | − | 1.54717i | −0.0696811 | − | 0.0696811i | |||||
5.67555 | − | 16.6606i | 0.255355 | − | 0.749595i | |||||
− | 0.582300i | − | 0.0261724i | |||||||
−8.95691 | + | 2.35862i | −0.402177 | + | 0.105905i | |||||
− | 39.9231i | − | 1.79079i | |||||||
−16.0334 | − | 5.46189i | −0.718473 | − | 0.244753i | |||||
25.4995 | + | 25.4995i | 1.14152 | + | 1.14152i | 0.988173 | + | 0.153343i | ||
0.153343 | + | 0.988173i | ||||||||
0.215051 | + | 1.66116i | 0.00961739 | + | 0.0742895i | |||||
−5.74511 | − | 5.74511i | −0.256673 | − | 0.256673i | |||||
15.8956 | + | 32.3210i | 0.709457 | + | 1.44256i | |||||
− | 19.6250i | − | 0.875035i | −0.899210 | − | 0.437517i | ||||
0.899210 | − | 0.437517i | ||||||||
−6.32257 | − | 9.52901i | −0.281630 | − | 0.424456i | |||||
−0.432108 | −0.0192286 | |||||||||
−30.8621 | − | 2.83846i | −1.37199 | − | 0.126185i | |||||
−8.16150 | + | 8.16150i | −0.362465 | + | 0.362465i | |||||
6.37497 | − | 8.27102i | 0.282844 | − | 0.366967i | |||||
12.6219 | − | 12.6219i | 0.559456 | − | 0.559456i | −0.369697 | − | 0.929153i | ||
0.929153 | + | 0.369697i | ||||||||
0.0590422 | − | 0.173318i | 0.00261443 | − | 0.00767466i | |||||
5.86805 | 0.259587 | |||||||||
22.2344 | − | 4.19872i | 0.982633 | − | 0.185559i | |||||
36.5215i | 1.61246i | |||||||||
15.4376 | + | 5.25895i | 0.680925 | + | 0.231962i | |||||
−0.789696 | − | 0.789696i | −0.0347982 | − | 0.0347982i | |||||
−17.2604 | + | 22.3940i | −0.759847 | + | 0.985841i | |||||
5.58929 | − | 5.58929i | 0.245817 | − | 0.245817i | |||||
3.63279 | + | 7.38666i | 0.159616 | + | 0.324551i | |||||
15.6695 | 0.687814 | |||||||||
−0.370116 | + | 0.245575i | −0.0162307 | + | 0.0107692i | |||||
12.0617 | 0.528434 | 0.264217 | − | 0.964463i | ||||||
0.264217 | + | 0.964463i | ||||||||
−1.63488 | − | 3.32425i | −0.0715570 | − | 0.145499i | |||||
−1.82928 | − | 1.82928i | −0.0799888 | − | 0.0799888i | 0.665980 | − | 0.745969i | ||
−0.745969 | + | 0.665980i | ||||||||
1.21088 | + | 9.35343i | 0.0528974 | + | 0.408606i | |||||
−11.4197 | − | 11.4197i | −0.498396 | − | 0.498396i | |||||
−11.7838 | + | 34.5914i | −0.513799 | + | 1.50825i | |||||
−2.94081 | −0.128104 | |||||||||
−21.5001 | + | 5.66162i | −0.935672 | + | 0.246390i | |||||
−10.4825 | − | 20.4723i | −0.455761 | − | 0.890102i | |||||
−0.316239 | + | 0.928320i | −0.0137366 | + | 0.0403236i | |||||
−15.5431 | − | 15.5431i | −0.674513 | − | 0.674513i | |||||
−4.53522 | − | 35.0323i | −0.196627 | − | 1.51884i | |||||
3.25955 | + | 3.25955i | 0.141187 | + | 0.141187i | |||||
10.8263 | + | 22.0134i | 0.468501 | + | 0.952615i | |||||
0.833120 | 0.0360189 | |||||||||
−0.945057 | − | 0.191165i | −0.0408202 | − | 0.00825707i | |||||
0.156488i | 0.00675297i | |||||||||
−21.6915 | + | 10.6680i | −0.935186 | + | 0.459929i | |||||
−0.229998 | − | 0.229998i | −0.00990670 | − | 0.00990670i | |||||
0.562650 | − | 0.729994i | 0.0242126 | − | 0.0314139i | |||||
−1.64738 | + | 1.64738i | −0.0708265 | + | 0.0708265i | −0.741633 | − | 0.670806i | ||
0.670806 | + | 0.741633i | ||||||||
8.97903 | − | 26.3579i | 0.385682 | − | 1.13217i | |||||
19.4675 | 0.835431 | |||||||||
7.16629 | + | 0.508537i | 0.307252 | + | 0.0218034i | |||||
−0.370579 | −0.0158738 | |||||||||
2.76386 | − | 8.11330i | 0.118282 | − | 0.347217i | |||||
−18.0346 | − | 18.0346i | −0.771105 | − | 0.771105i | 0.207195 | − | 0.978300i | ||
−0.978300 | + | 0.207195i | ||||||||
−11.7618 | − | 9.06551i | −0.502438 | − | 0.387259i | |||||
−13.9642 | + | 13.9642i | −0.595979 | + | 0.595979i | |||||
28.9542 | − | 14.2398i | 1.23461 | − | 0.607188i | |||||
− | 11.4431i | − | 0.487494i | |||||||
−12.0909 | − | 11.2271i | −0.514621 | − | 0.477855i | |||||
− | 18.3605i | − | 0.780767i | |||||||
7.59168 | + | 15.4364i | 0.322540 | + | 0.655828i | |||||
−0.157787 | + | 0.157787i | −0.00669768 | + | 0.00669768i | |||||
18.6869 | − | 2.41918i | 0.792503 | − | 0.102596i | |||||
−14.7445 | − | 14.7445i | −0.624743 | − | 0.624743i | 0.321997 | − | 0.946741i | ||
−0.946741 | + | 0.321997i | ||||||||
−4.71308 | − | 1.60555i | −0.199521 | − | 0.0679683i | |||||
21.7774 | 0.921086 | |||||||||
−0.449058 | + | 0.770098i | −0.0189762 | + | 0.0325426i | |||||
−7.05910 | −0.298035 | |||||||||
38.3577 | + | 13.0668i | 1.61802 | + | 0.551192i | |||||
−7.74891 | + | 7.74891i | −0.326578 | + | 0.326578i | −0.851284 | − | 0.524706i | ||
0.524706 | + | 0.851284i | ||||||||
4.17331 | − | 0.540269i | 0.175728 | − | 0.0227494i | |||||
−0.513779 | − | 0.513779i | −0.0216148 | − | 0.0216148i | |||||
−3.53226 | − | 7.18223i | −0.148472 | − | 0.301892i | |||||
5.65561i | 0.237513i | |||||||||
23.4775 | + | 35.3839i | 0.985092 | + | 1.48467i | |||||
3.63750 | 0.152492 | 0.0762460 | − | 0.997089i | ||||||
0.0762460 | + | 0.997089i | ||||||||
0.859289 | − | 0.422603i | 0.0359917 | − | 0.0177009i | |||||
−12.0122 | − | 12.0122i | −0.502695 | − | 0.502695i | 0.409579 | − | 0.912275i | ||
−0.912275 | + | 0.409579i | ||||||||
13.5633 | + | 10.4541i | 0.567111 | + | 0.437106i | |||||
−13.5503 | − | 13.5503i | −0.566072 | − | 0.566072i | |||||
8.75745 | + | 2.98329i | 0.365529 | + | 0.124520i | |||||
20.4293 | + | 12.4912i | 0.851961 | + | 0.520918i | |||||
11.2074 | + | 4.72747i | 0.466975 | + | 0.196978i | |||||
−20.4216 | −0.850164 | −0.425082 | − | 0.905155i | ||||||
−0.425082 | + | 0.905155i | ||||||||
−20.5982 | − | 7.01693i | −0.856772 | − | 0.291866i | |||||
−8.55781 | − | 8.55781i | −0.355650 | − | 0.355650i | |||||
−0.176293 | + | 0.228726i | −0.00732018 | + | 0.00949734i | |||||
18.5148 | + | 18.5148i | 0.768123 | + | 0.768123i | |||||
−12.3414 | + | 6.06957i | −0.511568 | + | 0.251592i | |||||
37.8097 | 1.56592 | |||||||||
−5.20086 | + | 3.45081i | −0.215213 | + | 0.142795i | |||||
−0.238773 | −0.00987206 | |||||||||
17.8518 | − | 8.77960i | 0.737451 | − | 0.362682i | |||||
−17.0110 | + | 17.0110i | −0.702118 | + | 0.702118i | −0.964865 | − | 0.262747i | ||
0.262747 | + | 0.964865i | ||||||||
−0.0222319 | − | 0.171731i | −0.000916829 | − | 0.00708205i | |||||
−10.8754 | − | 10.8754i | −0.448112 | − | 0.448112i | |||||
−0.552544 | + | 1.62199i | −0.0227479 | + | 0.0667764i | |||||
20.6833i | 0.850799i | |||||||||
−7.56360 | − | 4.41047i | −0.310862 | − | 0.181269i | |||||
−3.97528 | −0.163245 | −0.0816226 | − | 0.996663i | ||||||
−0.0816226 | + | 0.996663i | ||||||||
−33.6353 | − | 11.4581i | −1.38007 | − | 0.470133i | |||||
−0.200142 | + | 0.200142i | −0.00820502 | + | 0.00820502i | |||||
18.4524 | − | 2.38881i | 0.755840 | − | 0.0978497i | |||||
−10.4290 | + | 10.4290i | −0.426831 | + | 0.426831i | |||||
−1.16391 | + | 12.6551i | −0.0475960 | + | 0.517504i | |||||
−22.1613 | −0.905487 | −0.452744 | − | 0.891641i | ||||||
−0.452744 | + | 0.891641i | ||||||||
16.8368 | + | 3.40573i | 0.687360 | + | 0.139038i | |||||
− | 16.7533i | − | 0.683381i | −0.939813 | − | 0.341690i | ||||
0.939813 | − | 0.341690i | ||||||||
39.2206 | − | 19.2889i | 1.59851 | − | 0.786157i | |||||
−0.366505 | − | 0.366505i | −0.0149253 | − | 0.0149253i | |||||
24.7206 | + | 19.0537i | 1.00587 | + | 0.775282i | |||||
0.585575 | + | 0.585575i | 0.0238070 | + | 0.0238070i | |||||
−2.85990 | + | 8.39524i | −0.116176 | + | 0.341033i | |||||
36.1916i | 1.46897i | 0.678624 | + | 0.734486i | ||||||
−0.678624 | + | 0.734486i | ||||||||
24.6209 | + | 28.3822i | 0.998511 | + | 1.15105i | |||||
− | 5.57253i | − | 0.225810i | |||||||
1.45723 | + | 0.496417i | 0.0590015 | + | 0.0200993i | |||||
−2.29190 | − | 2.29190i | −0.0927203 | − | 0.0927203i | |||||
3.05887 | + | 2.35765i | 0.123647 | + | 0.0953025i | |||||
−30.4776 | + | 30.4776i | −1.23098 | + | 1.23098i | −0.267392 | + | 0.963588i | ||
−0.963588 | + | 0.267392i | ||||||||
−9.48446 | − | 19.2850i | −0.382762 | − | 0.778279i | |||||
0.250795i | 0.0101130i | |||||||||
33.6867 | + | 6.81411i | 1.35728 | + | 0.274548i | |||||
−16.7959 | −0.676176 | −0.338088 | − | 0.941114i | ||||||
−0.338088 | + | 0.941114i | ||||||||
−20.5692 | + | 10.1161i | −0.827416 | + | 0.406928i | |||||
10.5813 | + | 10.5813i | 0.425300 | + | 0.425300i | 0.887024 | − | 0.461724i | ||
−0.461724 | + | 0.887024i | ||||||||
0.0498315 | + | 0.384924i | 0.00200128 | + | 0.0154589i | |||||
−6.18144 | − | 25.6353i | −0.248053 | − | 1.02871i | |||||
−18.9076 | − | 6.44102i | −0.758126 | − | 0.258261i | |||||
− | 37.9222i | − | 1.51932i | |||||||
2.32156 | + | 8.81616i | 0.0929366 | + | 0.352929i | |||||
−24.8947 | −0.995787 | |||||||||
−32.6244 | − | 11.1137i | −1.30393 | − | 0.444194i | |||||
−26.1052 | − | 26.1052i | −1.04254 | − | 1.04254i | |||||
2.19901 | + | 16.9863i | 0.0877502 | + | 0.677826i | |||||
−1.96571 | − | 1.96571i | −0.0783782 | − | 0.0783782i | |||||
−0.430025 | + | 0.211489i | −0.0171326 | + | 0.00842591i | |||||
44.3752i | 1.76655i | 0.468857 | + | 0.883274i | ||||||
−0.468857 | + | 0.883274i | ||||||||
10.7972 | + | 16.2729i | 0.429489 | + | 0.647301i | |||||
15.2206i | 0.604965i | |||||||||
−18.8527 | + | 9.27187i | −0.748737 | + | 0.368233i | |||||
−0.309432 | − | 0.309432i | −0.0122794 | − | 0.0122794i | |||||
15.9429 | + | 12.2881i | 0.632176 | + | 0.487257i | |||||
−0.0943110 | + | 0.0943110i | −0.00373674 | + | 0.00373674i | |||||
10.5388 | + | 3.59013i | 0.417236 | + | 0.142135i | |||||
22.8272i | 0.903029i | |||||||||
−0.0548690 | − | 0.946615i | −0.00216889 | − | 0.0374183i | |||||
− | 22.6166i | − | 0.893303i | −0.894708 | − | 0.446652i | ||||
0.894708 | − | 0.446652i | ||||||||
5.51399 | − | 16.1863i | 0.217620 | − | 0.638823i | |||||
25.9171 | − | 25.9171i | 1.02207 | − | 1.02207i | 0.0223210 | − | 0.999751i | ||
0.999751 | − | 0.0223210i | ||||||||
9.11278 | + | 23.8224i | 0.359094 | + | 0.938733i | |||||
0.837795 | + | 0.837795i | 0.0329881 | + | 0.0329881i | |||||
5.26480 | + | 10.7051i | 0.207141 | + | 0.421185i | |||||
−16.0802 | −0.632179 | −0.316090 | − | 0.948729i | ||||||
−0.316090 | + | 0.948729i | ||||||||
−3.32588 | − | 5.01257i | −0.130653 | − | 0.196912i | |||||
66.0623 | 2.59317 | |||||||||
−5.83906 | − | 11.8727i | −0.229027 | − | 0.465686i | |||||
−5.29604 | − | 5.29604i | −0.207568 | − | 0.207568i | |||||
−3.91775 | − | 30.2627i | −0.153431 | − | 1.18518i | |||||
25.6456 | − | 25.6456i | 1.00359 | − | 1.00359i | 0.00359817 | − | 0.999994i | ||
0.999994 | − | 0.00359817i | ||||||||
−2.45267 | + | 7.19980i | −0.0959070 | + | 0.281535i | |||||
0.395227 | 0.0154428 | |||||||||
−9.51611 | + | 2.50587i | −0.371542 | + | 0.0978380i | |||||
−3.35523 | −0.130900 | |||||||||
−6.15766 | − | 2.09765i | −0.240051 | − | 0.0817751i | |||||
−5.67720 | + | 5.67720i | −0.221152 | + | 0.221152i | −0.808984 | − | 0.587831i | ||
0.587831 | + | 0.808984i | ||||||||
0.119615 | + | 0.923968i | 0.00465602 | + | 0.0359654i | |||||
25.6539 | − | 25.6539i | 0.997820 | − | 0.997820i | −0.00217783 | − | 0.999998i | ||
0.999998 | + | 0.00217783i | ||||||||
15.8574 | − | 7.79873i | 0.616314 | − | 0.303106i | |||||
2.89460i | 0.112417i | |||||||||
−27.2976 | − | 5.52173i | −1.05935 | − | 0.214285i | |||||
−1.48028 | −0.0574030 | |||||||||
−2.07716 | − | 4.22354i | −0.0804882 | − | 0.163659i | |||||
1.93681 | + | 8.03220i | 0.0749936 | + | 0.311008i | |||||
−10.5810 | − | 8.15540i | −0.409390 | − | 0.315542i | |||||
−7.16979 | + | 7.16979i | −0.277200 | + | 0.277200i | |||||
−0.0130290 | + | 0.0382465i | −0.000503353 | + | 0.00147759i | |||||
− | 59.3517i | − | 2.29125i | |||||||
11.9898 | + | 13.8214i | 0.462517 | + | 0.533173i | |||||
−14.3871 | −0.554583 | −0.277291 | − | 0.960786i | ||||||
−0.277291 | + | 0.960786i | ||||||||
−4.85643 | + | 14.2560i | −0.187063 | + | 0.549122i | |||||
19.4129 | + | 19.4129i | 0.747203 | + | 0.747203i | |||||
−11.5856 | + | 15.0313i | −0.445598 | + | 0.578128i | |||||
−9.48874 | + | 9.48874i | −0.364682 | + | 0.364682i | −0.865533 | − | 0.500851i | ||
0.500851 | + | 0.865533i | ||||||||
−13.3824 | + | 6.58154i | −0.513948 | + | 0.252762i | |||||
21.2604 | 0.815898 | |||||||||
0.0596890 | − | 0.295083i | 0.00228897 | − | 0.0113159i | |||||
−8.12869 | −0.311492 | |||||||||
13.4279 | − | 6.60392i | 0.514182 | − | 0.252877i | |||||
−10.0685 | + | 10.0685i | −0.385260 | + | 0.385260i | −0.872993 | − | 0.487733i | ||
0.487733 | + | 0.872993i | ||||||||
2.59315 | + | 20.0308i | 0.0991514 | + | 0.765895i | |||||
−0.440026 | + | 0.440026i | −0.0168125 | + | 0.0168125i | |||||
8.40228 | − | 24.6649i | 0.320801 | − | 0.941709i | |||||
27.0682 | 1.03272 | |||||||||
−23.4181 | + | 40.1602i | −0.892807 | + | 1.53109i | |||||
− | 15.5039i | − | 0.590652i | |||||||
−0.531627 | + | 0.442074i | −0.0202387 | + | 0.0168295i | |||||
−25.0974 | − | 25.0974i | −0.954750 | − | 0.954750i | 0.0442700 | − | 0.999020i | ||
−0.999020 | + | 0.0442700i | ||||||||
25.5512 | − | 3.30782i | 0.971312 | − | 0.125744i | |||||
13.0641 | + | 13.0641i | 0.496266 | + | 0.496266i | |||||
29.4826 | − | 14.4997i | 1.11914 | − | 0.550400i | |||||
− | 0.789613i | − | 0.0299517i | |||||||
3.27703 | + | 4.93894i | 0.124215 | + | 0.187210i | |||||
−3.12441 | −0.118346 | |||||||||
9.92540 | − | 4.88136i | 0.375682 | − | 0.184762i | |||||
4.35324 | − | 4.35324i | 0.164655 | − | 0.164655i | |||||
−21.0320 | − | 16.2107i | −0.794937 | − | 0.612706i | |||||
1.25488 | + | 1.25488i | 0.0473963 | + | 0.0473963i | 0.730408 | − | 0.683011i | ||
−0.683011 | + | 0.730408i | ||||||||
−4.69842 | + | 13.7922i | −0.177331 | + | 0.520553i | |||||
− | 14.5388i | − | 0.548340i | |||||||
−33.8637 | + | 13.7707i | −1.27629 | + | 0.519003i | |||||
− | 0.176342i | − | 0.00664144i | |||||||
−43.1119 | − | 14.6864i | −1.62254 | − | 0.552730i | |||||
9.69453 | − | 9.69453i | 0.364600 | − | 0.364600i | |||||
27.8559 | + | 21.4703i | 1.04689 | + | 0.806902i | |||||
17.0708 | − | 17.0708i | 0.641106 | − | 0.641106i | −0.309721 | − | 0.950827i | ||
0.950827 | + | 0.309721i | ||||||||
1.59680 | − | 0.785316i | 0.0599270 | − | 0.0294724i | |||||
10.4981i | 0.393711i | |||||||||
22.3008 | + | 33.6105i | 0.835758 | + | 1.25961i | |||||
9.47438 | + | 5.79296i | 0.354818 | + | 0.216948i | |||||
2.56383 | + | 5.21310i | 0.0959489 | + | 0.195095i | |||||
0.507425 | − | 0.507425i | 0.0189766 | − | 0.0189766i | |||||
0.0330346 | + | 0.255176i | 0.00123456 | + | 0.00953636i | |||||
−21.8854 | + | 21.8854i | −0.817325 | + | 0.817325i | |||||
6.23705 | − | 18.3088i | 0.232765 | − | 0.683280i | |||||
10.8401i | 0.404268i | 0.979358 | + | 0.202134i | ||||||
−0.979358 | + | 0.202134i | ||||||||
0.256762 | − | 0.440326i | 0.00956896 | − | 0.0164100i | |||||
35.4343 | 1.31964 | |||||||||
−11.4540 | + | 33.6232i | −0.426273 | + | 1.25132i | |||||
−6.59940 | + | 6.59940i | −0.245434 | + | 0.245434i | |||||
31.7445 | − | 4.10958i | 1.17977 | − | 0.152731i | |||||
−6.08258 | − | 6.08258i | −0.225901 | − | 0.225901i | |||||
15.2525 | − | 7.50125i | 0.566073 | − | 0.278397i | |||||
10.3403i | 0.383501i | 0.981444 | + | 0.191751i | ||||||
−0.981444 | + | 0.191751i | ||||||||
2.79414 | − | 13.8133i | 0.103558 | − | 0.511955i | |||||
− | 23.2984i | − | 0.862903i | |||||||
0.115429 | + | 0.234704i | 0.00427221 | + | 0.00868680i | |||||
−10.4373 | + | 10.4373i | −0.386037 | + | 0.386037i | |||||
19.2893 | − | 25.0263i | 0.712954 | − | 0.925000i | |||||
18.2971 | + | 18.2971i | 0.675819 | + | 0.675819i | 0.959051 | − | 0.283232i | ||
−0.283232 | + | 0.959051i | ||||||||
24.7404 | + | 8.42800i | 0.913184 | + | 0.311083i | |||||
−0.00725644 | −0.000267658 | |||||||||
−22.0858 | − | 15.7549i | −0.814094 | − | 0.580732i | |||||
1.55775 | 0.0573803 | |||||||||
−5.00733 | − | 1.70579i | −0.184322 | − | 0.0627908i | |||||
29.3914 | + | 29.3914i | 1.08118 | + | 1.08118i | 0.996400 | + | 0.0847802i | ||
0.0847802 | + | 0.996400i | ||||||||
−0.223984 | + | 0.290602i | −0.00823383 | + | 0.0106827i | |||||
−10.7045 | + | 10.7045i | −0.393238 | + | 0.393238i | |||||
−13.7323 | − | 27.9222i | −0.504128 | − | 1.02506i | |||||
− | 15.4325i | − | 0.566163i | −0.959096 | − | 0.283081i | ||||
0.959096 | − | 0.283081i | ||||||||
7.80832 | + | 1.57946i | 0.286267 | + | 0.0579057i | |||||
− | 0.779703i | − | 0.0285661i | |||||||
4.82445 | − | 2.37269i | 0.176636 | − | 0.0868704i | |||||
−10.5864 | − | 10.5864i | −0.387335 | − | 0.387335i | |||||
−11.5108 | + | 1.49017i | −0.420878 | + | 0.0544861i | |||||
−18.6914 | + | 18.6914i | −0.682969 | + | 0.682969i | |||||
0.464566 | − | 1.36373i | 0.0169635 | − | 0.0497965i | |||||
14.9635 | 0.546026 | 0.273013 | − | 0.962010i | ||||||
0.273013 | + | 0.962010i | ||||||||
6.69110 | − | 1.76197i | 0.243999 | − | 0.0642523i | |||||
− | 30.9793i | − | 1.12895i | |||||||
1.47214 | − | 4.32146i | 0.0536122 | − | 0.157378i | |||||
0.924836 | − | 0.924836i | 0.0336582 | − | 0.0336582i | |||||
3.75442 | + | 29.0010i | 0.136547 | + | 1.05476i | |||||
11.8442 | − | 11.8442i | 0.430485 | − | 0.430485i | −0.458308 | − | 0.888793i | ||
0.888793 | + | 0.458308i | ||||||||
−15.1445 | − | 30.7936i | −0.550072 | − | 1.11848i | |||||
22.7422 | + | 13.9054i | 0.825491 | + | 0.504733i | |||||
1.31198 | − | 0.870507i | 0.0475904 | − | 0.0315766i | |||||
− | 0.408106i | − | 0.0147938i | −0.999973 | − | 0.00739692i | ||||
0.999973 | − | 0.00739692i | ||||||||
−8.05978 | + | 3.96384i | −0.291975 | + | 0.143595i | |||||
8.31408 | − | 8.31408i | 0.300990 | − | 0.300990i | |||||
−24.9561 | − | 19.2351i | −0.902879 | − | 0.695903i | |||||
0.114437 | − | 0.114437i | 0.00413748 | − | 0.00413748i | |||||
−12.3175 | − | 4.19605i | −0.445049 | − | 0.151610i | |||||
− | 27.0890i | − | 0.978126i | |||||||
−18.7545 | − | 5.19914i | −0.676745 | − | 0.187608i | |||||
− | 44.9499i | − | 1.62093i | −0.585784 | − | 0.810467i | ||||
0.585784 | − | 0.810467i | ||||||||
0.464419 | − | 1.36330i | 0.0167365 | − | 0.0491300i | |||||
−9.91873 | − | 9.91873i | −0.357214 | − | 0.357214i | |||||
−15.7612 | − | 12.1481i | −0.567259 | − | 0.437221i | |||||
−28.2917 | + | 28.2917i | −1.01758 | + | 1.01758i | −0.0177385 | + | 0.999843i | ||
−0.999843 | + | 0.0177385i | ||||||||
−22.4255 | + | 11.0290i | −0.806070 | + | 0.396429i | |||||
−11.5616 | −0.415303 | |||||||||
−18.8431 | + | 12.5025i | −0.676427 | + | 0.448815i | |||||
− | 7.08003i | − | 0.253995i | |||||||
34.3565 | − | 16.8967i | 1.23174 | − | 0.605777i | |||||
−11.5543 | − | 11.5543i | −0.413977 | − | 0.413977i | |||||
0.378875 | − | 0.0490484i | 0.0135659 | − | 0.00175622i | |||||
−48.5108 | − | 48.5108i | −1.73585 | − | 1.73585i | |||||
−5.50737 | − | 6.62303i | −0.196943 | − | 0.236839i | |||||
9.47304i | 0.338539i | |||||||||
−0.0725044 | − | 0.275337i | −0.00258944 | − | 0.00983346i | |||||
0.717752 | 0.0256177 | |||||||||
2.61581 | − | 7.67869i | 0.0933027 | − | 0.273890i | |||||
23.2407 | − | 23.2407i | 0.828442 | − | 0.828442i | −0.158859 | − | 0.987301i | ||
0.987301 | + | 0.158859i | ||||||||
4.36624 | + | 33.7270i | 0.155541 | + | 1.20148i | |||||
22.2250 | − | 22.2250i | 0.791232 | − | 0.791232i | |||||
0.734364 | − | 0.361164i | 0.0261275 | − | 0.0128496i | |||||
23.0537 | 0.819694 | |||||||||
−19.2614 | − | 3.89617i | −0.684423 | − | 0.138444i | |||||
−24.3373 | −0.864242 | |||||||||
−7.95377 | + | 3.91171i | −0.282269 | + | 0.138821i | |||||
0.596448 | − | 0.596448i | 0.0211538 | − | 0.0211538i | |||||
−14.8044 | + | 19.2075i | −0.524728 | + | 0.680792i | |||||
16.5321 | + | 16.5321i | 0.585598 | + | 0.585598i | 0.936436 | − | 0.350838i | ||
−0.350838 | + | 0.936436i | ||||||||
−9.79724 | + | 28.7598i | −0.346819 | + | 1.01808i | |||||
2.19688 | 0.0777200 | |||||||||
28.1737 | + | 1.99927i | 0.996090 | + | 0.0706850i | |||||
21.6831i | 0.766136i | |||||||||
4.17089 | − | 12.2436i | 0.147279 | − | 0.432337i | |||||
7.13030 | − | 7.13030i | 0.251623 | − | 0.251623i | |||||
0.656841 | + | 0.506267i | 0.0231650 | + | 0.0178547i | |||||
1.03905 | − | 0.250546i | 0.0366215 | − | 0.00883057i | |||||
−2.70795 | − | 5.50614i | −0.0953835 | − | 0.193946i | |||||
20.7910 | 0.731879 | |||||||||
−2.89123 | + | 14.2933i | −0.101713 | + | 0.502837i | |||||
− | 3.22326i | − | 0.113324i | −0.998393 | − | 0.0566618i | ||||
0.998393 | − | 0.0566618i | ||||||||
−0.226207 | + | 0.111250i | −0.00794812 | + | 0.00390892i | |||||
−12.6982 | + | 12.6982i | −0.445893 | + | 0.445893i | −0.893987 | − | 0.448093i | ||
0.448093 | + | 0.893987i | ||||||||
−1.17636 | − | 9.08678i | −0.0412821 | − | 0.318883i | |||||
−16.9350 | + | 16.9350i | −0.593937 | + | 0.593937i | |||||
13.3898 | + | 4.56134i | 0.469313 | + | 0.159875i | |||||
−1.27874 | −0.0447924 | |||||||||
−5.33798 | − | 3.11267i | −0.186867 | − | 0.108965i | |||||
−77.1959 | −2.70074 | |||||||||
−17.6165 | + | 51.7133i | −0.615948 | + | 1.80811i | |||||
5.35698 | − | 5.35698i | 0.187188 | − | 0.187188i | |||||
0.0529426 | + | 0.408955i | 0.00184884 | + | 0.0142813i | |||||
−24.5612 | − | 24.5612i | −0.857192 | − | 0.857192i | 0.133814 | − | 0.991006i | ||
−0.991006 | + | 0.133814i | ||||||||
5.63676 | + | 11.4614i | 0.196605 | + | 0.399761i | |||||
−45.6245 | −1.59037 | −0.795185 | − | 0.606367i | ||||||
−0.795185 | + | 0.606367i | ||||||||
−31.4055 | + | 20.8378i | −1.09406 | + | 0.725918i | |||||
−27.7523 | −0.966210 | |||||||||
−23.9935 | − | 48.7866i | −0.834841 | − | 1.69750i | |||||
0.390922 | + | 0.390922i | 0.0135937 | + | 0.0135937i | 0.713871 | − | 0.700277i | ||
−0.700277 | + | 0.713871i | ||||||||
−5.21050 | − | 13.6211i | −0.181077 | − | 0.473368i | |||||
−12.4079 | + | 12.4079i | −0.430943 | + | 0.430943i | −0.888949 | − | 0.458006i | ||
0.458006 | + | 0.888949i | ||||||||
−0.376337 | + | 1.10474i | −0.0130628 | + | 0.0383459i | |||||
− | 14.7956i | − | 0.513253i | |||||||
5.64670 | + | 13.8859i | 0.195764 | + | 0.481406i | |||||
− | 0.0904010i | − | 0.00313221i | |||||||
−15.3410 | − | 5.22604i | −0.531217 | − | 0.180963i | |||||
−0.395851 | + | 0.395851i | −0.0136990 | + | 0.0136990i | |||||
−48.0788 | − | 37.0573i | −1.66284 | − | 1.28165i | |||||
9.00301 | + | 9.00301i | 0.311190 | + | 0.311190i | |||||
21.7271 | − | 10.6855i | 0.750549 | − | 0.369124i | |||||
− | 2.88285i | − | 0.0995269i | −0.998761 | − | 0.0497635i | ||||
0.998761 | − | 0.0497635i | ||||||||
0.638901 | − | 0.423916i | 0.0220442 | − | 0.0146265i | |||||
26.0318i | 0.897650i | |||||||||
24.4080 | − | 12.0040i | 0.841156 | − | 0.413685i | |||||
−24.6449 | − | 24.6449i | −0.848816 | − | 0.848816i | |||||
3.21306 | + | 24.8193i | 0.110598 | + | 0.854315i | |||||
0.562346 | + | 0.562346i | 0.0193453 | + | 0.0193453i | |||||
3.52082 | + | 1.19940i | 0.121048 | + | 0.0412361i | |||||
−26.2752 | −0.902827 | |||||||||
28.5911 | + | 16.6720i | 0.981821 | + | 0.572518i | |||||
6.88409i | 0.236261i | |||||||||
8.48874 | + | 2.89176i | 0.291161 | + | 0.0991864i | |||||
2.46076 | + | 10.2051i | 0.0843538 | + | 0.349826i | |||||
−4.68913 | − | 36.2212i | −0.160647 | − | 1.24092i | |||||
−4.58595 | − | 4.58595i | −0.157020 | − | 0.157020i | 0.624225 | − | 0.781245i | ||
−0.781245 | + | 0.624225i | ||||||||
−43.8309 | + | 21.5562i | −1.49986 | + | 0.737640i | |||||
0.846396 | 0.0289461 | |||||||||
5.57440 | − | 27.5580i | 0.190529 | − | 0.941913i | |||||
18.1650i | 0.620506i | 0.950654 | + | 0.310253i | ||||||
−0.950654 | + | 0.310253i | ||||||||
−6.50014 | − | 13.2169i | −0.221911 | − | 0.451218i | |||||
24.8997 | − | 24.8997i | 0.849566 | − | 0.849566i | −0.140513 | − | 0.990079i | ||
0.990079 | + | 0.140513i | ||||||||
1.54300 | + | 1.18928i | 0.0526158 | + | 0.0405542i | |||||
−5.62669 | − | 5.62669i | −0.191757 | − | 0.191757i | |||||
9.03941 | + | 3.07934i | 0.307883 | + | 0.104883i | |||||
− | 17.1216i | − | 0.582825i | −0.956598 | − | 0.291412i | ||||
0.956598 | − | 0.291412i | ||||||||
−20.3821 | − | 23.4958i | −0.693413 | − | 0.799342i | |||||
− | 1.07966i | − | 0.0367096i | |||||||
−3.93599 | + | 11.5541i | −0.133751 | + | 0.392624i | |||||
13.2344 | + | 13.2344i | 0.449464 | + | 0.449464i | |||||
−9.75391 | − | 7.51793i | −0.331069 | − | 0.255175i | |||||
−22.3099 | − | 22.3099i | −0.756813 | − | 0.756813i | |||||
0.222885 | − | 0.109616i | 0.00755650 | − | 0.00371632i | |||||
− | 0.638756i | − | 0.0216434i | |||||||
−2.47954 | + | 12.2580i | −0.0839678 | + | 0.415109i | |||||
−12.1562 | −0.411426 | |||||||||
4.12581 | − | 44.8593i | 0.139558 | − | 1.51739i | |||||
−1.57479 | + | 1.57479i | −0.0532376 | + | 0.0532376i | |||||
5.32393 | − | 0.689226i | 0.179879 | − | 0.0232868i | |||||
−15.2309 | + | 15.2309i | −0.514312 | + | 0.514312i | −0.915845 | − | 0.401532i | ||
0.401532 | + | 0.915845i | ||||||||
31.7248 | + | 10.8073i | 1.07066 | + | 0.364729i | |||||
−17.1107 | −0.577131 | |||||||||
0.390098 | + | 1.48141i | 0.0131502 | + | 0.0499382i | |||||
− | 51.1387i | − | 1.72291i | −0.507837 | − | 0.861453i | ||||
0.507837 | − | 0.861453i | ||||||||
0.0493548 | − | 0.144881i | 0.00166186 | − | 0.00487839i | |||||
−2.24931 | − | 2.24931i | −0.0756953 | − | 0.0756953i | 0.668245 | − | 0.743941i | ||
−0.743941 | + | 0.668245i | ||||||||
0.611047 | + | 4.72004i | 0.0205517 | + | 0.158752i | |||||
1.04213 | − | 1.04213i | 0.0350310 | − | 0.0350310i | |||||
29.7058 | − | 14.6095i | 0.997985 | − | 0.490814i | |||||
41.9597 | 1.40887 | 0.704435 | − | 0.709769i | ||||||
0.704435 | + | 0.709769i | ||||||||
4.16353 | + | 6.27504i | 0.139719 | + | 0.210576i | |||||
13.8845 | 0.465670 | |||||||||
1.51678 | − | 0.745958i | 0.0508424 | − | 0.0250046i | |||||
6.87217 | + | 6.87217i | 0.230226 | + | 0.230226i | |||||
−10.1778 | + | 13.2049i | −0.340777 | + | 0.442131i | |||||
8.12425 | + | 8.12425i | 0.271868 | + | 0.271868i | |||||
−15.1485 | − | 5.16045i | −0.506641 | − | 0.172591i | |||||
0.0107824 | 0.000360416 | |||||||||
22.4687 | + | 20.0067i | 0.750627 | + | 0.668377i | |||||
5.70192 | − | 9.32549i | 0.190382 | − | 0.311369i | |||||
30.1759 | + | 10.2797i | 1.00698 | + | 0.343037i | |||||
−2.82088 | − | 2.82088i | −0.0940817 | − | 0.0940817i | |||||
12.0257 | + | 9.26893i | 0.400856 | + | 0.308964i | |||||
7.43057 | + | 7.43057i | 0.247548 | + | 0.247548i | |||||
14.2663 | − | 7.01622i | 0.475014 | − | 0.233614i | |||||
−37.5925 | −1.25100 | |||||||||
−20.4325 | + | 13.5571i | −0.679574 | + | 0.450903i | |||||
− | 1.34136i | − | 0.0445882i | |||||||
−11.8472 | − | 24.0892i | −0.393597 | − | 0.800311i | |||||
−6.73858 | − | 6.73858i | −0.223751 | − | 0.223751i | 0.586325 | − | 0.810076i | ||
−0.810076 | + | 0.586325i | ||||||||
−13.2549 | + | 1.71596i | −0.439881 | + | 0.0569462i | |||||
−5.54313 | + | 5.54313i | −0.183854 | + | 0.183854i | |||||
−0.559024 | − | 0.190436i | −0.0185315 | − | 0.00631289i | |||||
58.1801 | 1.92759 | 0.963796 | − | 0.266642i | ||||||
0.963796 | + | 0.266642i | ||||||||
−8.22938 | − | 31.2513i | −0.272502 | − | 1.03483i | |||||
44.9949 | 1.48911 | |||||||||
−26.5961 | − | 9.06017i | −0.879721 | − | 0.299684i | |||||
−0.936275 | − | 0.936275i | −0.0309523 | − | 0.0309523i | |||||
44.1384 | − | 5.71407i | 1.45837 | − | 0.188798i | |||||
−8.86708 | + | 8.86708i | −0.292817 | + | 0.292817i | |||||
−4.35839 | − | 8.86202i | −0.143848 | − | 0.292490i | |||||
45.9219i | 1.51482i | 0.652938 | + | 0.757411i | ||||||
−0.652938 | + | 0.757411i | ||||||||
−0.773569 | + | 0.833087i | −0.0255038 | + | 0.0274661i | |||||
18.4845i | 0.609083i | |||||||||
51.7898 | − | 25.4705i | 1.70561 | − | 0.838826i | |||||
−19.8919 | + | 19.8919i | −0.654751 | + | 0.654751i | |||||
−23.4132 | − | 18.0460i | −0.770238 | − | 0.593669i | |||||
−7.72805 | − | 7.72805i | −0.254097 | − | 0.254097i | |||||
−10.7738 | + | 31.6263i | −0.354048 | + | 1.03931i | |||||
−20.2606 | −0.665446 | |||||||||
6.38625 | + | 7.36184i | 0.209639 | + | 0.241664i | |||||
18.0479 | 0.592132 | 0.296066 | − | 0.955167i | ||||||
0.296066 | + | 0.955167i | ||||||||
0.107649 | − | 0.316003i | 0.00352994 | − | 0.0103621i | |||||
0.334311 | − | 0.334311i | 0.0109566 | − | 0.0109566i | |||||
6.17958 | − | 8.01751i | 0.202419 | − | 0.262622i | |||||
12.1482 | + | 12.1482i | 0.397714 | + | 0.397714i | |||||
4.78850 | − | 2.35501i | 0.156685 | − | 0.0770583i | |||||
0.486388i | 0.0159066i | |||||||||
−1.59763 | + | 7.89816i | −0.0522202 | + | 0.258159i | |||||
3.77047 | 0.123176 | 0.0615879 | − | 0.998102i | ||||||
0.0615879 | + | 0.998102i | ||||||||
−0.565765 | − | 1.15039i | −0.0184729 | − | 0.0375614i | |||||
20.9612 | + | 20.9612i | 0.684044 | + | 0.684044i | |||||
−0.0372257 | − | 0.287550i | −0.00121417 | − | 0.00937886i | |||||
19.3322 | + | 19.3322i | 0.630212 | + | 0.630212i | 0.948121 | − | 0.317909i | ||
−0.317909 | + | 0.948121i | ||||||||
4.75043 | − | 13.9449i | 0.154777 | − | 0.454348i | |||||
10.0659 | + | 6.15462i | 0.327790 | + | 0.200422i | |||||
49.9553 | + | 29.1298i | 1.62591 | + | 0.948095i | |||||
1.22543 | 0.0398633 | |||||||||
24.2192 | − | 71.0954i | 0.787434 | − | 2.31151i | |||||
0.659158 | + | 0.659158i | 0.0214197 | + | 0.0214197i | 0.717736 | − | 0.696316i | ||
−0.696316 | + | 0.717736i | ||||||||
−2.15651 | − | 16.6580i | −0.0700403 | − | 0.541026i | |||||
−2.92379 | − | 2.92379i | −0.0949104 | − | 0.0949104i | |||||
20.6981 | + | 42.0861i | 0.671536 | + | 1.36545i | |||||
18.0701 | 0.585964 | |||||||||
5.28116 | + | 7.95946i | 0.171163 | + | 0.257967i | |||||
−26.8329 | −0.869203 | −0.434601 | − | 0.900623i | ||||||
−0.434601 | + | 0.900623i | ||||||||
7.85183 | + | 15.9653i | 0.254213 | + | 0.516897i | |||||
−0.933645 | + | 0.933645i | −0.0302121 | + | 0.0302121i | |||||
−31.0671 | + | 40.3071i | −1.00478 | + | 1.30362i | |||||
−6.77123 | − | 6.77123i | −0.218883 | − | 0.218883i | |||||
−18.3089 | − | 6.23706i | −0.591533 | − | 0.201510i | |||||
− | 19.7443i | − | 0.637578i | |||||||
−0.316968 | + | 0.751434i | −0.0102301 | + | 0.0242524i | |||||
25.6382 | 0.827037 | |||||||||
1.87039 | − | 5.49052i | 0.0603037 | − | 0.177021i | |||||
10.6874 | − | 10.6874i | 0.344395 | − | 0.344395i | |||||
−9.36810 | + | 12.1544i | −0.301726 | + | 0.391466i | |||||
−0.589652 | + | 0.589652i | −0.0189816 | + | 0.0189816i | |||||
2.00917 | − | 21.8454i | 0.0646439 | − | 0.702863i | |||||
−15.2802 | −0.491379 | −0.245690 | − | 0.969349i | ||||||
−0.245690 | + | 0.969349i | ||||||||
23.2878 | − | 15.4516i | 0.748497 | − | 0.496633i | |||||
− | 10.2607i | − | 0.329620i | |||||||
0.418207 | + | 0.850351i | 0.0134278 | + | 0.0273031i | |||||
−5.62452 | − | 5.62452i | −0.180499 | − | 0.180499i | 0.611074 | − | 0.791573i | ||
−0.791573 | + | 0.611074i | ||||||||
−3.57135 | − | 27.5869i | −0.114551 | − | 0.884851i | |||||
17.7153 | + | 17.7153i | 0.567926 | + | 0.567926i | |||||
−21.3926 | − | 7.28755i | −0.685462 | − | 0.233508i | |||||
11.3799i | 0.364448i | |||||||||
26.1708 | − | 44.8808i | 0.837708 | − | 1.43660i | |||||
15.3837i | 0.492169i | 0.969248 | + | 0.246085i | ||||||
−0.969248 | + | 0.246085i | ||||||||
−8.46334 | + | 24.8441i | −0.270628 | + | 0.794427i | |||||
−46.0796 | − | 46.0796i | −1.47271 | − | 1.47271i | |||||
−0.0118326 | + | 0.00153183i | −0.000377979 | + | 4.89325e-5i | |||||
−4.75382 | + | 4.75382i | −0.151778 | + | 0.151778i | |||||
−42.1543 | + | 20.7317i | −1.34520 | + | 0.661576i | |||||
− | 31.2924i | − | 0.998073i | −0.866581 | − | 0.499037i | ||||
0.866581 | − | 0.499037i | ||||||||
8.29581 | + | 1.67807i | 0.264461 | + | 0.0534948i | |||||
1.42513 | 0.0454084 | |||||||||
1.36560 | + | 2.77671i | 0.0434895 | + | 0.0884283i | |||||
3.95631 | + | 3.95631i | 0.125931 | + | 0.125931i | |||||
−15.1954 | + | 19.7148i | −0.483430 | + | 0.627211i | |||||
54.1856 | − | 13.0658i | 1.72300 | − | 0.415468i | |||||
−0.265545 | + | 0.779508i | −0.00843959 | + | 0.0247744i | |||||
− | 27.6157i | − | 0.877241i | −0.898672 | − | 0.438620i | ||||
0.898672 | − | 0.438620i | ||||||||
13.0660 | + | 0.927191i | 0.414844 | + | 0.0294384i | |||||
−15.1991 | −0.482329 | |||||||||
−18.2061 | + | 53.4438i | −0.577461 | + | 1.69514i | |||||
0.718583 | + | 0.718583i | 0.0227806 | + | 0.0227806i | |||||
18.9726 | + | 14.6233i | 0.601170 | + | 0.463358i | |||||
26.4275 | + | 26.4275i | 0.836969 | + | 0.836969i | 0.988459 | − | 0.151490i | ||
−0.151490 | + | 0.988459i | ||||||||
−22.5070 | − | 45.7640i | −0.712445 | − | 1.44863i | |||||
12.0357i | 0.380793i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 368.2.i.b.91.6 | yes | 80 | |
4.3 | odd | 2 | 1472.2.i.b.1103.11 | 80 | |||
16.3 | odd | 4 | inner | 368.2.i.b.275.5 | yes | 80 | |
16.13 | even | 4 | 1472.2.i.b.367.12 | 80 | |||
23.22 | odd | 2 | inner | 368.2.i.b.91.5 | ✓ | 80 | |
92.91 | even | 2 | 1472.2.i.b.1103.12 | 80 | |||
368.45 | odd | 4 | 1472.2.i.b.367.11 | 80 | |||
368.275 | even | 4 | inner | 368.2.i.b.275.6 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
368.2.i.b.91.5 | ✓ | 80 | 23.22 | odd | 2 | inner | |
368.2.i.b.91.6 | yes | 80 | 1.1 | even | 1 | trivial | |
368.2.i.b.275.5 | yes | 80 | 16.3 | odd | 4 | inner | |
368.2.i.b.275.6 | yes | 80 | 368.275 | even | 4 | inner | |
1472.2.i.b.367.11 | 80 | 368.45 | odd | 4 | |||
1472.2.i.b.367.12 | 80 | 16.13 | even | 4 | |||
1472.2.i.b.1103.11 | 80 | 4.3 | odd | 2 | |||
1472.2.i.b.1103.12 | 80 | 92.91 | even | 2 |